multiplex (version 1.0)

partial.order: The Partial Order of Strings of Relations

Description

Construct the partial order table of unique relations of the semigroup.

Usage

partial.order(x, labels = NULL)

Arguments

x

an object of a `Strings' class

labels

(optional) the labels of the unique relations

Value

• The partial order table in a matrix form.

Details

To get the partial order of an entire semigroup, both generators and compound relations must be considered. This information and the labels of the unique relations are given by the strings function. cf. semigroup to see how the x should be specified properly.

References

Pattison, P.E. Algebraic Models for Social Networks. Cambridge University Press. 1993.

See Also

as.strings, strings, perm, diagram.

Examples

## Load the data, and obtain the partial order
data("incubA")

## the strings in the structure
st <- strings(incubA) 

## Get the partial order
partial.order(st)